Construction of Nahm data and BPS monopoles with continuous symmetries

TL;DR

This paper classifies Nahm's equations solutions with continuous symmetries, constructs new Nahm data, and uses these to generate novel BPS monopoles with spherical symmetry, advancing understanding of symmetric monopole solutions.

Contribution

The paper provides a classification of symmetric Nahm data, introduces new solutions, and constructs previously unknown BPS monopoles with spherical symmetry.

Findings

New Nahm data solutions constructed.

Classification of symmetric Nahm solutions achieved.

Novel BPS monopoles with spherical symmetry obtained.

Abstract

We study solutions to Nahm's equations with continuous symmetries and, under certain (mild) hypotheses, we classify the corresponding Ans\"atze. Using our classification, we construct novel Nahm data, and prescribe methods for generating further solutions. Finally, we use these results to construct new BPS monopoles with spherical symmetry.